List of mathematical functions

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In mathematics, many functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions in more detail. There is a large theory of special functions which developed out of statistics and mathematical physics. A modern, abstract point of view contrasts large function spaces, which are infinite-dimensional and within which most functions are 'anonymous', with special functions picked out by properties such as symmetry, or relationship to harmonic analysis and group representations.

See also List of types of functions

Elementary functions[edit]

Elementary functions are functions built from basic operations (e.g. addition, exponentials, logarithms...)

Algebraic functions[edit]

Algebraic functions are functions that can be expressed as the solution of a polynomial equation with integer coefficients.

Elementary transcendental functions[edit]

Transcendental functions are functions that are not algebraic.

Special functions[edit]

Basic special functions[edit]

Number theoretic functions[edit]

Antiderivatives of elementary functions[edit]

Gamma and related functions[edit]

Elliptic and related functions[edit]

Bessel and related functions[edit]

Riemann zeta and related functions[edit]

Hypergeometric and related functions[edit]

Iterated exponential and related functions[edit]

Other standard special functions[edit]

Miscellaneous functions[edit]

External links[edit]